یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references and index
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
Discover the Connections between Different Structures and Fields, Discrete Structures and Their Interactions highlights the connections among various discrete structures, including graphs, directed graphs, hypergraphs, partial orders, finite topologies, and simplicial complexes. It also explores their relationships to classical areas of mathematics, such as linear and multilinear algebra, analysis, probability, logic, and topology. The text introduces a number of discrete structures, such as hypergraphs, finite topologies, preorders, simplicial complexes, and order ideals of monomials, that most graduate students in combinatorics, and even some researchers in the field, seldom experience. The author explains how these structures have important applications in many areas inside and outside of combinatorics. He also discusses how to recognize valuable research connections through the structures. Intended for graduate and upper-level undergraduate students in mathematics who have taken an initial course in discrete mathematics or graph theory, this book shows how discrete structures offer new insights into the classical fields of mathematics. It illustrates how to use discrete structures to represent the salient features and discover the underlying combinatorial principles of seemingly unrelated areas of mathematics. Book jacket
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Combinatorial analysis
موضوع مستند نشده
Computer algorithms
موضوع مستند نشده
Graph theory-- Data processing
رده بندی ديویی
شماره
512/
.
55
ويراست
23
رده بندی کنگره
شماره رده
QA166
.
245
نشانه اثر
.
B76
2013
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )